Van der Waals interaction between a microparticle and a single-wall carbon nanotube

Abstract

The Lifshitz-type formulas describing the free energy and the force of the van der Waals interaction between an atom (molecule) and a single-wall carbon nanotube are obtained. The single-wall nanotube is considered as a cylindrical sheet carrying a two-dimensional free electron gas with appropriate boundary conditions on the electromagnetic field. The obtained formulas are used to calculate the van der Waals free energy and force between a hydrogen atom (molecule) and single-wall carbon nanotubes of different radia. Comparison studies of the van der Waals interaction of hydrogen atoms with single- and multi-wall carbon nanotubes show that depending on atom-nanotube separation distance the idealization of graphite dielectric permittivity is already applicable to nanotubes with only two or three walls.

16 pages, 5 figures, to appear in Physical Review B

References in corpus (7)

• Effect of the Casimir-Polder force on the collective oscillations of a trapped Bose-Einstein condensate
• The Casimir effect for a sphere and a cylinder in front of plane and corrections to the proximity force theorem
• Worldline algorithms for Casimir configurations
• Demonstration of the difference Casimir force for samples with different charge carrier densities
• Lifshitz-type formulas for graphene and single-wall carbon nanotubes: van der Waals and Casimir interations
• Experimental test for the conductivity properties from the Casimir force between metal and semiconductor
• Casimir-Polder interaction between an atom and a cavity wall under the influence of real conditions

Cited by in corpus (6)

• Control of the Casimir force by the modification of dielectric properties with light
• Thermal Casimir vs Casimir-Polder forces: Equilibrium and non-equilibrium forces
• Conductivity of dielectric and thermal atom-wall interaction
• Thermal correction to the Casimir force, radiative heat transfer, and an experiment
• Van der Waals and Casimir interactions between atoms and carbon nanotubes
• Modification of energy shifts of atoms by the presence of a boundary in a thermal bath and the Casimir-Polder force